Lagrangian $H$-umbilical submanifolds in quaternion Euclidean spaces

Abstract

In [4], there exist nonflat Lagrangian H-umbilical submanifolds in H n : Lagrangian pseudo-sphere and a quaternion extensor of the unit hypersphere of E n . In this paper, using the idea of twisted product, we investigate the flat Lagrangian H-umbilical submanifolds in quaternion Euclidean space H n .